{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### An example showing the plot_pca_2d_projection method used by a scikit-learn PCA object\n",
    "\n",
    "In this example, we'll be plotting the 2D-projection of the embeddings fitted by Principal Component Analysis (PCA) algorithm. First, we'll call a PCA instance and fit the data, then pass this fitted instance with the dataset into the `scikitplot.decomposition.plot_pca_2d_projection` method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "from sklearn.datasets import load_iris as load_data\n",
    "from sklearn import preprocessing\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Import scikit-plot\n",
    "import scikitplot as skplt\n",
    "\n",
    "%pylab inline\n",
    "pylab.rcParams['figure.figsize'] = (14, 14)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=None, random_state=1,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Loading the data\n",
    "data = load_data()\n",
    "\n",
    "#Encode labels to y\n",
    "encode=preprocessing.LabelEncoder()\n",
    "encode.fit(data.target_names)\n",
    "\n",
    "X = data.data   \n",
    "y = encode.inverse_transform(data.target)\n",
    "\n",
    "# Create a PCA instance and fit\n",
    "pca = PCA(random_state=1)\n",
    "pca.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wYdv3QZIky5QkDRIPPBCPAi1bBitXwqmnQns7zJkTjww98UQ8+nLVVduOaW2F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\nZcydX+d0iUIIh6TTTA0opUqATUqpW5RSy9P8OeECydjwaU2z8ddWoDw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crrzS3Ke1CbZ4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\nAfyllAHZlm7kAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7faf44403080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot!\n",
    "skplt.decomposition.plot_pca_2d_projection(pca, X, y, biplot=True, feature_labels=data.feature_names)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
